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Finding the Fourth Proportional to 6,358.71, 9,543.56 and 4,412.28

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Solution

The fourth proportional to 6,358.71, 9,543.56 and 4,412.28 is: 6,622.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,358.71 : 9,543.56 = 4,412.28 : x
  2. Step 2: Convert to fraction form
    6,358.71/9,543.56 = 4,412.28/x
  3. Step 3: Cross multiply
    6,358.71x = 9,543.56 × 4,412.28
  4. Step 4: Simplify right side
    6,358.71x = 42,108,836.86
  5. Step 5: Solve for x
    x = 42,108,836.86/6,358.71
  6. Step 6: Final answer
    x = 6,622.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.